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Finding the Fourth Proportional to 1,101.44, 1,651.20 and 523.52

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Solution

The fourth proportional to 1,101.44, 1,651.20 and 523.52 is: 784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.44 : 1,651.20 = 523.52 : x
  2. Step 2: Convert to fraction form
    1,101.44/1,651.20 = 523.52/x
  3. Step 3: Cross multiply
    1,101.44x = 1,651.20 × 523.52
  4. Step 4: Simplify right side
    1,101.44x = 864,436.22
  5. Step 5: Solve for x
    x = 864,436.22/1,101.44
  6. Step 6: Final answer
    x = 784.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.